Characteristics and Origins of the Solar System
Sample
Examination: Updated Version
September
21,2000
Reminder: Bring your SC1 charts to the exam, folks; you might be asked questions that
will require them. Answer these
questions in complete sentences and always give your reasons, or state the
principle/mathematical relation you are using.
Mere numbers and primal grunts written down are not adequate responses. Also
be sure to bring a calculator to the exam: there will be numerical questions.
- Define the ecliptic. You should describe what is corresponds
to observationally (i.e. what we see in the sky that corresponds to the
ecliptic) as well as the physical definition (i.e. what it is within the
context of a model of the solar of
the solar system.
- Define what
is meant by meridian and local mean noon.
- A friend
tells you she saw Jupiter near the star Altair (Right Ascension 19h
51m, Declination +8˚ 51′ on the evening of September 1. Is this a correct observation? Give your reasons for accepting or
rejecting it.
- Here’s a
tough one; take your time to think about it and look over your SC1 chart! The
line of nodes of the Moon’s orbit points to two places on the
sky. One is at Right Ascension =
20hours, Declination = -23 degrees, the other is at Right Ascension 8 hours, Declination =
+22 degrees. The date is now
January 13 and the Moon is at first quarter in the constellation of Aries (around Right Ascension
2hours). Will there be any
eclipses in the near future? What
kind?
- Describe
the basis of radioisotope dating of rocks. The length of your response should be approximately one
handwritten (single side page).
Continuing to a second page is OK, but don’t get carried away and
write the libretto to a baroque opera.
- You are
chosen as the Pontifex Maximus (or Pontifatrix Maxima as the case may be) of the
United States, a priestly office in which you get to decide things about
time, definitions of the calendar, etc.
You decide these leap years are a bunch of confusing nonsense and
decide that every year will consist of 365 days (mean solar days).
How long will it be until we are celebrating New Year’s Eve on the
shortest night of the year? Describe
why this would happen.
- The orbits
of planets around the Sun can be described by a certain mathematical
figure. What is this figure, and
what is the scientific term for the law that says this is so? Make a rough, Cro-Magnon-like cave
drawing representation of this figure, and indicate some of its important features.
- You
have been abducted by space aliens!!! They take you to the star 18 Scorpii, which is believed to
be identical to the Sun, as far as we can tell. They dump you on a planet there. At its closest to the star (the fancy term for this is periastron)
the planet is 0.5 astronomical units from 18 Scorpii. At the most distant point in its orbit
(apastron) it is 1.5
astronomical units from the star. (a)
What is the length of the “year” for this planet? (b) Compare the
rates at which the Sun moves against the background stars at periastron
and apastron.
- Define what
is meant by astronomical unit and give its value (at least
roughly).
- Of what
elements is the Earth principally composed? Compare its chemical composition with that of the Sun and
stars.
- The sidereal
day is about 4 minutes shorter than the mean solar day. Explain why this difference
exists. In the case of this problem, one well-done diagram is
worth Avogadro’s Number of words.
- Describe
the characteristics of the rocks which comprise the continents and the
ocean bottoms. Use as many
technical terms as you feel comfortable with.
- The subject
of geology comprises many interesting phenomena including formation of
mountains, volcanism, Earthquakes, and others. According to our modern understanding of geology, all
of these phenomena arise as a
consequence of an important, general dynamism of the Earth. What is this? Discuss how the aforementioned phenomena (and others) arise
as a consequence.
- Radioisotope
A undergoes Beta Decay to isotope B with a half life of 2
billion years. Analysis of a rock shows that it has 75 nuclei of A per cubic centimeter and 25 of B.
What can you say about the age of this rock? Make the usual dubious assumption that
the rock formed with no nuclei of B.
- Comet
Hale-Bopp (which appeared in the inner solar system in 1997) had an
orbital period of about 5000 years.
How far from the Sun is it at aphelion?
- Discuss
similarities and differences between the atmosphere of the Earth and those
of the other terrestrial planets.
- How long
ago did the Earth form? What evidence do we have for this? Roughly how
long ago did animals appear (evolve) that you would want to have as a pet?